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Finding the Third Proportional to 364,057 and 569,852

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Solution

The third proportional to 364,057 and 569,852 is: 891,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,057 : 569,852 = 569,852 : x
  2. Step 2: Convert to fraction form
    364,057/569,852 = 569,852/x
  3. Step 3: Cross multiply
    364,057x = 569,852 × 569,852
  4. Step 4: Simplify right side
    364,057x = 324,731,301,904
  5. Step 5: Solve for x
    x = 324,731,301,904/364,057
  6. Step 6: Final answer
    x = 891,979.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.